微惯性环节介入法与同阶闭环系统的稳定性

Micro Inertial Link Intervention Method and Stability of Same Order Closed Loop Systems

奈奎斯特判据是经典控制理论中最为重要的稳定性判据,但并不适用于同阶闭环系统。同时由于基本环节样式不全、开环传递函数含义易误解且使用不便,导致初学者对自控原理学习和理解的困扰。为此对频域法的一些概念和表达方式进行了梳理,对基本环节和控制系统进行了完整的分类,提出环路传递函数概念解决了开环传递函数含义易误解和使用不便的问题,提出微惯性环节介入法解决了同阶闭环系统稳定性判断的问题,环路传递函数、微惯性环节介入法、巨惯性环节与微阻尼振荡环节替代等方法大大地简化了系统特性的分析,从而完善了频域分析法及其知识体系。

Nyquist criterion is the most important stability criterion in the classical control theory,but it is not suitable for the same order closed-loop system.At the same time,because the basic link style is incomplete,the meaning of the open-loop transfer function is easy to be misinterpreted and inconvenient to use,the beginners have difficulty in learning and understanding the automatic control principle.Some concepts and expressions of frequency domain method were sorted out,and the basic links and control systems were completely classified.The concept of loop transfer function was proposed to solve the problems of easy misunderstanding and inconvenient use of the meaning of open loop transfer function.The micro inertia link intervention method was introduced to solve the problem of stability judgment for the same order closed-loop system.The loop transfer function,micro inertia link intervention method,substitution of giant inertia link and micro damping oscillation link greatly simplifies the analysis of system characteristics,thereby improving the frequency domain analysis method and its knowledge system.